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Finding the Fourth Proportional to 17.84, 24.76 and 17.68

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Solution

The fourth proportional to 17.84, 24.76 and 17.68 is: 24.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.84 : 24.76 = 17.68 : x
  2. Step 2: Convert to fraction form
    17.84/24.76 = 17.68/x
  3. Step 3: Cross multiply
    17.84x = 24.76 × 17.68
  4. Step 4: Simplify right side
    17.84x = 437.76
  5. Step 5: Solve for x
    x = 437.76/17.84
  6. Step 6: Final answer
    x = 24.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.